Miscellaneous Polyhedra

A ring of anti-prisms

A ring can be made of thirteen square anti-prisms.  It is however, not quite regular.  It can be shown that to complete the toroid takes approximately 13.01 square anti-prisms.  It's a nice near miss though, and a physical model shows no visible distortion (stress map - cones exaggerated x 100)Distortion (E=0.041, P=0 , A=5.5).  It's not the closest such near miss; eighty-three icosikaitetragonal (24-gonal) antiprisms can be formed into a ring with an error of only 1/7700th of an anti-prism.

Thanks to Charles Butler for bringing the above near miss to my attention.


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